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1328448231 = 321121219879
BaseRepresentation
bin100111100101110…
…1000001011100111
310102120201011101100
41033023220023213
510210040320411
6335453131143
744630423625
oct11713501347
93376634340
101328448231
11621968900
12310a89ab3
131822b8856
14c8608515
157b95e456
hex4f2e82e7

1328448231 has 18 divisors (see below), whose sum is σ = 2109172520. Its totient is φ = 805119480.

The previous prime is 1328448203. The next prime is 1328448263.

It is a happy number.

1328448231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1328448231 - 26 = 1328448167 is a prime.

It is a super-2 number, since 2×13284482312 = 3529549404894058722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328448131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 608851 + ... + 611028.

Almost surely, 21328448231 is an apocalyptic number.

1328448231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1328448231 is a deficient number, since it is larger than the sum of its proper divisors (780724289).

1328448231 is a wasteful number, since it uses less digits than its factorization.

1328448231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219907 (or 1219893 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 1328448231 is about 36447.8837657277. The cubic root of 1328448231 is about 1099.2965836159.

The spelling of 1328448231 in words is "one billion, three hundred twenty-eight million, four hundred forty-eight thousand, two hundred thirty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 1219879 3659637 10978911 13418669 40256007 120768021 147605359 442816077 1328448231